IEOR162_hw02 - IEOR 162, Fall 2011 Homework 02 Please DO...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: IEOR 162, Fall 2011 Homework 02 Please DO NOT attempt to find the optimal solutions for Problems 1 to 4. 1. (Problem 3.5.5; 10 points) Each day, workers at the Gotham City Police Department work two 6-hour shifts chosen from 12 A.M. to 6 A.M., 6 A.M. to 12 P.M., 12 P.M. to 6 P.M., and 6 P.M. to 12 A.M. The following number of workers are needed during each shift: 12 A.M. to 6 A.M. 15 workers; 6 A.M. to 12 P.M. 5 workers; 12 P.M. to 6 P.M. 12 workers; 6 P.M. to 12 A.M. 6 workers. Workers whose two shifts are consecutive are paid $12 per hour; workers whose shifts are not consecutive are paid $18 per hour. Formulate an LP that can be used to minimize the cost of meeting the daily workforce demands of the Gotham City Police Department. 2. (Problem 3.8.2; 10 points) O.J. Juice Company sells bags of oranges and cartons of orange juice. O.J. grades oranges on a scale of 1 (poor) to 10 (excellent). O.J. now has on hand 100,000 lb of grade 9 oranges and 120,000 lb of grade 6 oranges. The average quality of oranges sold in bags must be atoranges and 120,000 lb of grade 6 oranges....
View Full Document

Ask a homework question - tutors are online